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H^3 and twisted K-theory for compact Lie groups

Presented by: 
Jonathan Rosenberg University of Maryland, College Park
Thursday 25th May 2017 - 14:00 to 15:00
INI Seminar Room 2
The WZW model in physics naturally leads to a study of twisted K-theory for compact Lie groups, which has been studied by Moore-Maldacena-Seiberg, Hopkins, Braun, and Douglas.  We re-examine a few aspects of this subject.  For example, what is the map on H^3 induced by a covering of compact simple Lie groups?  The result is complicated and quite surprising.  Also, what can we learn about twisted K-theory from the connection between Langlands duality and T-duality, studied by Daenzer-Van Erp and Bunke-Nikolaus?  Again, the result is rather surprising.  This is joint work with Mathai Varghese.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons